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Simplifying x = -1x2 + -4 Reorder the terms: x = -4 + -1x2 Solving x = -4 + -1x2 Solving for variable 'x'. Reorder the terms: 4 + x + x2 = -4 + -1x2 + 4 + x2 Reorder the terms: 4 + x + x2 = -4 + 4 + -1x2 + x2 Combine like terms: -4 + 4 = 0 4 + x + x2 = 0 + -1x2 + x2 4 + x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 4 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x + x2 = 0 + -4 x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 x + x2 = -4 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -4 + 0.25 Reorder the terms: 0.25 + x + x2 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 0.25 + x + x2 = -3.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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